{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "import math\n",
    "\n",
    "def GeneratePointInCycle4(point_num, radius):\n",
    "    for i in range(1, point_num+1):\n",
    "        theta = random.random()*2*pi;\n",
    "        r = random.uniform(0, radius)\n",
    "        x = math.sin(theta)* (r**0.5)\n",
    "        y = math.cos(theta)* (r**0.5)\n",
    "        plt.plot(x, y, '*', color = \"black\") "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pi = np.pi\n",
    "theta = np.linspace(0, pi*2, 1000)\n",
    "R = 1\n",
    "x = np.sin(theta)*R\n",
    "y = np.cos(theta)*R\n",
    " \n",
    "plt.figure(figsize=(6,6))\n",
    "plt.plot(x,y,label = \"cycle\",color=\"red\",linewidth=2)\n",
    "plt.title(\"cycyle\")\n",
    "GeneratePointInCycle4(400, R) #修改此处来显示不同算法的效果\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
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